Randy is a famous pitcher in Long Island High School. His average throwing distance is 35 yards. However, his coach was

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Randy is a famous pitcher in Long Island High School. His
average throwing distance is 35 yards. However, his coach was
analyzing Randy’s throwing angle and figuring how he had a bad
habit to unconsciously lift his arm earlier than he was supposed to
do. Coach trained Randy for his new strategy and measured his
throwing distance that turned out to be 38 yards after 11 throws
with a sample standard deviation of 5.2 yards. Coach is now
believing that his new strategy is effective making Randy throw
farther than 35 yards. Are these data providing sufficient
evidence, at the 5% of level of significance, to conclude that
coach’s strategy is effective? (throwing distances follows normal
distribution)